Simplify `cos^2theta-sin^2theta`

Simplify cos^8theta-sin^8theta

Simplify sin^8theta-cos^8theta

Simplify: cos^(3)theta+sin^(3)theta=

[[ Simplify :cos thetacos theta,sin theta-sin theta,cos theta]]+sin theta[[sin theta,-cos thetacos theta,sin theta]]

Simplify: cos theta[cos theta sin theta-sin theta cos theta]+sin theta[sin theta-cos theta cos theta sin theta]

Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin theta[(sin theta,-cos theta),(cos theta,sin theta)]

Simplify sqrt(1- sin^2theta ) + (1 cos^2theta)

Inverse of the matrix [(cos 2 theta,-sin 2theta),(sin 2 theta, cos 2theta)] is

Simplify [(sin theta)/(cos theta)+(cos theta)/(sin theta)]^(2)

Simplify: (sin8 theta cos theta-sin6 theta cos3 theta)/(cos2 theta cos theta-sin3 theta sin4 theta)